4 papers
A first passage problem for a Poisson counting process with a linear moving boundary
Ivan N. Burenev, Michael J. Kearney, Satya N. Majumdar
The time to first crossing for the Poisson counting process with respect to a linear moving barrier with offset is a classic problem, although key results remain scattered across t…
First-passage properties of the jump process with a drift. The general case
Ivan N. Burenev
We study the first-passage properties of a jump process with constant drift where jump amplitudes and inter-arrival times follow arbitrary light-tailed distributions with smooth de…
An introduction to large deviations with applications in physics
Ivan N. Burenev, Daniël W. H. Cloete, Vansh Kharbanda +1
These notes are based on the lectures that one of us (HT) gave at the Summer School on the "Theory of Large Deviations and Applications", held in July 2024 at Les Houches in France…
First-passage properties of the jump process with a drift. Two exactly solvable cases
Ivan N. Burenev, Satya N. Majumdar
We investigate the first-passage properties of a jump process with a constant drift, focusing on two key observables: the first-passage time and the number of jumps before…